12-7x-12x^2=0

Solution for 12-7x-12x^2=0 equation:

12-7x-12x^2=0

a = -12; b = -7; c = +12;
Δ = b2-4ac
Δ = -72-4·(-12)·12
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-25}{2*-12}=\frac{-18}{-24}
=3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+25}{2*-12}=\frac{32}{-24}
=-1+1/3
$